- #1

brotherbobby

- 403

- 103

- Homework Statement:
- Two identical blocks are stacked from the edge of a table, as the figure below shows. If each block has a length ##L##, what is the maximum overhang possible?

- Relevant Equations:
- The center of mass (or gravity) : ##x_{\text{CM}} = \frac{\Sigma m_i x_i}{\Sigma m_i}##

The red dots show the CM of each block. ##x## is the amount by which the upper block overhangs the lower block. The blue (dashed) line shows the CM of the combination. For maximum overhanging, this line lies on the edge of the table below. By symmetry, the CM lies exactly midway between the two CMs of the individual blocks - hence each CM must be a distance ##\frac{x}{2}## from the CM of the combination (on either side). The amount of overhanging ##\Delta L = \frac{L+x}{2}##. Question is then, how to relate ##x## to ##L##?

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